Medium
You are given an m x n
binary matrix grid
.
A row or column is considered palindromic if its values read the same forward and backward.
You can flip any number of cells in grid
from 0
to 1
, or from 1
to 0
.
Return the minimum number of cells that need to be flipped to make either all rows palindromic or all columns palindromic.
Example 1:
Input: grid = [[1,0,0],[0,0,0],[0,0,1]]
Output: 2
Explanation:
Flipping the highlighted cells makes all the rows palindromic.
Example 2:
Input: grid = [[0,1],[0,1],[0,0]]
Output: 1
Explanation:
Flipping the highlighted cell makes all the columns palindromic.
Example 3:
Input: grid = [[1],[0]]
Output: 0
Explanation:
All rows are already palindromic.
Constraints:
m == grid.length
n == grid[i].length
1 <= m * n <= 2 * 105
0 <= grid[i][j] <= 1
import kotlin.math.min
class Solution {
fun minFlips(grid: Array<IntArray>): Int {
val m = grid.size
val n = grid[0].size
var rowFlips = 0
for (i in 0 until m / 2) {
for (j in 0 until n) {
val sum = grid[i][j] + grid[m - 1 - i][j]
rowFlips += min(sum, (2 - sum))
}
}
var columnFlips = 0
for (j in 0 until n / 2) {
for (ints in grid) {
val sum = ints[j] + ints[n - 1 - j]
columnFlips += min(sum, (2 - sum))
}
}
return min(rowFlips, columnFlips)
}
}